@Article{Quintana-Orti:2008:,
  author =       "Enrique Quintana-Ort\'{i} and Robert A. van de Geijn",
  title =        "Updating an LU factorization with Pivoting",
  journal =      "{ACM} Transactions on Mathematical Software",
  volume =       "35",
  number =       "2",
  month =        jul,
  year =         "2008",
  pages =        "11:1--11:16",
  URL =          "http://doi.acm.org/10.1145/1377612.1377615",
  abstract =     "We show how to compute an LU factorization of a matrix when the factors of a leading principle 
                 submatrix are already known. The approach incorporates pivoting akin to partial pivoting,
                 a strategy we call incremental pivoting. An implementation using the Formal Linear Algebra
                 Methods Environment (FLAME) Application Programming Interface (API) is described. Experimental 
                 results demonstrate practical numerical stability and high performance on an Intel Itanium2 
                 processor based server.",
}